Regular type of real hyper-surfaces in (almost) complex manifolds
Differential Geometry
2007-05-23 v1 Complex Variables
Abstract
The regular type of a real hyper-surface M in an (almost) complex manifold at some point p is the maximal contact order at p of M with germs of non singular (pseudo) holomorphic disks. The main purpose of this paper is to give two intrinsic characterizations the type: one in terms of Lie brackets of a complex tangent vector field on M, the other in terms of some kind of derivatives of the Levi form.
Cite
@article{arxiv.math/0304146,
title = {Regular type of real hyper-surfaces in (almost) complex manifolds},
author = {J. -F. Barraud and E. Mazzilli},
journal= {arXiv preprint arXiv:math/0304146},
year = {2007}
}